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Finding the Fourth Proportional to 5,762.02, 8,642.65 and 1,601.95

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Solution

The fourth proportional to 5,762.02, 8,642.65 and 1,601.95 is: 2,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.02 : 8,642.65 = 1,601.95 : x
  2. Step 2: Convert to fraction form
    5,762.02/8,642.65 = 1,601.95/x
  3. Step 3: Cross multiply
    5,762.02x = 8,642.65 × 1,601.95
  4. Step 4: Simplify right side
    5,762.02x = 13,845,093.17
  5. Step 5: Solve for x
    x = 13,845,093.17/5,762.02
  6. Step 6: Final answer
    x = 2,402.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.